All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
A pubescent Muslim is required to learn the individual obligations of Islam. These obligations are of two kinds:
Firstly, (1) The pillars of Iman (faith) that comprise belief in Allah, His Angels, His Books, The Day of Judgement and al-Qadar (Divine Destiny) whether it is good or bad, and (2) performance of purification, ablution, performing the prayer, fasting, as well as purifying one's heart from pride, hypocrisy and arrogance. It is every Muslim's duty to learn these kinds of obligations as long as he is a pubescent.
Secondly, these kinds of individual obligations come into effect when a Muslim becomes liable from the Sharee’ah point of view to do them, such as Hajj and Zakat, or when he assumes some activities such as selling and purchasing (i.e. he has to know the Sharee’ah rulings of selling and purchasing).
Al-Qurafi differentiated between Fardh ‘Ayn (individual obligation) and Fardh al-Kifaayah (communal obligation), since many people cannot distinguish between them.
He said: “To make them dear and visible, we state that deeds are of two categories: (1) Those deeds whose benefits are repeated due to their recurrence, and (2) those deeds whose benefits are not repeated due to their recurrence.'
As for the first category, it is legislated (by Allah or His Messenger) on every individual to increase benefits by recurrence of these deeds, such as the prayer (of Thuhr …), since its benefit constitutes submission to Allah, understanding His words (Quran) and glorifying Him; the more we pray, the more benefits we gain.
Saving a drowning person is Fard Kifayah. So, if someone saves that person from drowning, this constitutes a good favor. But, if somebody else wants to save the same drowning person, then this is considered as nothing since everything is finished [i.e. the person has already been saved from drowning]. This is the example of Fard al-Kifayah. Other examples are clothing a naked person and feeding a hungry person, and so on.
For further information on this issue, you can benefit from the following two books: (1) Maa laa yassa'u al-Muslim Jahluhu (what a Muslim is required to know) by Dr. Salah al-Sawe and Dr. Abdullah al-Musleh, (2) Tahtheeb Madarej al-Saalikeen, by Ibn al-Qayyim .
As for the book of “Manarat al-Qulub” by al-Mausawi, we know nothing about it. The books of Bidaayatul-Mujtahed and al-Mudaawana al-Kubra contain details of Fiqh, which we are not required (as individual obligation) to know.
For more benefit, please refer to Fataawa 281047, 329527, 15872, and 87011.
Allah knows best.